Geodesic
Algèbres simples centrales de degré 5 et E 8
Canadian mathematical bulletin, Tome 45 (2002) no. 3, pp. 388-398

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DOI

As a consequence of a theorem of Rost-Springer, we establish that the cyclicity problem for central simple algebra of degree 5 on fields containg a fifth root of unity is equivalent to the study of anisotropic elements of order 5 in the split group of type ${{E}_{8}}$ .
DOI : 10.4153/CMB-2002-041-3
Mots-clés : 16S35, 12G05, 20G15, algèbres simples centrales, cohomologie galoisienne 
Gille, Philippe. Algèbres simples centrales de degré 5 et E 8. Canadian mathematical bulletin, Tome 45 (2002) no. 3, pp. 388-398. doi: 10.4153/CMB-2002-041-3
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     title = {Alg\`ebres simples centrales de degr\'e 5 et {E} 8},
     journal = {Canadian mathematical bulletin},
     pages = {388--398},
     year = {2002},
     volume = {45},
     number = {3},
     doi = {10.4153/CMB-2002-041-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-041-3/}
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